• Geeta Arora

Differential equations have a striking capacity to foretell the world around us. They are accustomed in number of disciplines of sciences and engineering. Some differential equations are easy to sole while some leads to a complex form that is not easy to get the analytical solution of these complex problems which created the demand for advanced numerical methods. Numerical method is used to find the approximate solution of the given numerical problems or differential equations. There are two ways to find the solution of differential equation: Analytically and Numerically. The analytic approach gives the exact solution whereas numerical method gives the approximate solution. Then the question arises that why we need approximate solutions if we already have exact solutions? The answer to this basic question is that there are some complex differential equations whose exact solutions cannot be found, then in that cases we can find approximate solution which will tend to approach exact solution after removing errors. The aim of this work is to present collocation method with hybrid B-Spline basis functions to get the solution for a partial differential equation.

Study of solitary waves

"Study of solitary waves", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 1, page no.434-442, January 2019, Available :http://www.jetir.org/papers/JETIRDY06062.pdf

"Study of solitary waves", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 1, page no. pp434-442, January 2019, Available at : http://www.jetir.org/papers/JETIRDY06062.pdf